You'll want a router for your Internet so you can take that laptop anywhere in your apartment or on your balcony to work. Your cable company/Internet Service Provider can set it up for you for a fee and you rent it from them for $5 a month or so, or you can just buy your own (D-link routers cost about $70) and set it up yourself. It's pretty easy.
I found a great, lightweight case at Office Depot last week for $40. It's that new spongy fabric in deep ocean blue and black, and has a slip for the laptop (mine is a 17"), a slip for files or a notebook, and an outer pocket for pens, pad, and other supplies.
You can get a small mouse to travel with your laptop if you're a mouse user, but you might as well get used to the touchpad. By the way, if it's supersensitive, you can adjust that. Mine used to drive me crazy because I have lazy thumbs and I was constantly laying them on the touchpad inadvertently, clicking places I didn't mean to click.
You might want to get a flash drive, aka thumb drive, to back up your files. I keep three. Get as big as you can afford.
You can get headphones for your laptop, too, for when you're traveling and want to listen to YouTube videos or something and not disturb the people around you.
Have fun with your new mobility!
Roxy
Getting in touch with my inner try-athlete.